SOLUTION: The perimeter of a triangle is 75 cm. If the lengths of the sides of the triangle are consecutive odd integers, find the length of each side. thanks

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Question 194135: The perimeter of a triangle is 75 cm. If the lengths of the sides of the triangle are consecutive odd integers, find the length of each side.

thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p= perimeter, and the sides be
a,b, and c
p+=+a+%2B+b+%2B+c
Let b = a+%2B+2
Let c+=+a+%2B+4
Given:
75+=+a+%2B+b+%2B+c
75+=+a+%2B+a+%2B+2+%2B+a+%2B+4
75+=+3a+%2B+6
3a+=+69
a+=+23
a+%2B+2+=+25
a+%2B+4+=+27
The sides of the triangle are 23,25, and 27
check:
p+=+a+%2B+b+%2B+c
75+=+23+%2B+25+%2B+27
75+=+75
OK